TSTP Solution File: SWC385+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC385+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:43:31 EDT 2022
% Result : Theorem 0.16s 0.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 158 ( 28 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 188 ( 50 ~; 35 |; 91 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f597,plain,
$false,
inference(subsumption_resolution,[],[f596,f409]) ).
fof(f409,plain,
segmentP(sK24,sK23),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( singletonP(sK23)
| ~ neq(sK24,nil) )
& neq(sK22,nil)
& segmentP(sK24,sK23)
& sK21 = sK23
& ( ~ segmentP(sK22,sK21)
| ~ singletonP(sK21) )
& sK22 = sK24
& ssList(sK24)
& ssList(sK23)
& ssList(sK22)
& ssList(sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24])],[f191,f266,f265,f264,f263]) ).
fof(f263,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( singletonP(X2)
| ~ neq(X3,nil) )
& neq(X1,nil)
& segmentP(X3,X2)
& X0 = X2
& ( ~ segmentP(X1,X0)
| ~ singletonP(X0) )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( singletonP(X2)
| ~ neq(X3,nil) )
& neq(X1,nil)
& segmentP(X3,X2)
& sK21 = X2
& ( ~ segmentP(X1,sK21)
| ~ singletonP(sK21) )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( singletonP(X2)
| ~ neq(X3,nil) )
& neq(X1,nil)
& segmentP(X3,X2)
& sK21 = X2
& ( ~ segmentP(X1,sK21)
| ~ singletonP(sK21) )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( singletonP(X2)
| ~ neq(X3,nil) )
& neq(sK22,nil)
& segmentP(X3,X2)
& sK21 = X2
& ( ~ segmentP(sK22,sK21)
| ~ singletonP(sK21) )
& sK22 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
( ? [X2] :
( ? [X3] :
( ( singletonP(X2)
| ~ neq(X3,nil) )
& neq(sK22,nil)
& segmentP(X3,X2)
& sK21 = X2
& ( ~ segmentP(sK22,sK21)
| ~ singletonP(sK21) )
& sK22 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( singletonP(sK23)
| ~ neq(X3,nil) )
& neq(sK22,nil)
& segmentP(X3,sK23)
& sK21 = sK23
& ( ~ segmentP(sK22,sK21)
| ~ singletonP(sK21) )
& sK22 = X3
& ssList(X3) )
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f266,plain,
( ? [X3] :
( ( singletonP(sK23)
| ~ neq(X3,nil) )
& neq(sK22,nil)
& segmentP(X3,sK23)
& sK21 = sK23
& ( ~ segmentP(sK22,sK21)
| ~ singletonP(sK21) )
& sK22 = X3
& ssList(X3) )
=> ( ( singletonP(sK23)
| ~ neq(sK24,nil) )
& neq(sK22,nil)
& segmentP(sK24,sK23)
& sK21 = sK23
& ( ~ segmentP(sK22,sK21)
| ~ singletonP(sK21) )
& sK22 = sK24
& ssList(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( singletonP(X2)
| ~ neq(X3,nil) )
& neq(X1,nil)
& segmentP(X3,X2)
& X0 = X2
& ( ~ segmentP(X1,X0)
| ~ singletonP(X0) )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& X1 = X3
& segmentP(X3,X2)
& ( singletonP(X2)
| ~ neq(X3,nil) )
& X0 = X2
& ( ~ segmentP(X1,X0)
| ~ singletonP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ neq(X1,nil)
| X1 != X3
| ~ segmentP(X3,X2)
| ( ~ singletonP(X2)
& neq(X3,nil) )
| X0 != X2
| ( singletonP(X0)
& segmentP(X1,X0) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ neq(X1,nil)
| X1 != X3
| ~ segmentP(X3,X2)
| ( ~ singletonP(X2)
& neq(X3,nil) )
| X0 != X2
| ( singletonP(X0)
& segmentP(X1,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f596,plain,
~ segmentP(sK24,sK23),
inference(subsumption_resolution,[],[f558,f595]) ).
fof(f595,plain,
singletonP(sK23),
inference(subsumption_resolution,[],[f411,f557]) ).
fof(f557,plain,
neq(sK24,nil),
inference(definition_unfolding,[],[f410,f406]) ).
fof(f406,plain,
sK22 = sK24,
inference(cnf_transformation,[],[f267]) ).
fof(f410,plain,
neq(sK22,nil),
inference(cnf_transformation,[],[f267]) ).
fof(f411,plain,
( singletonP(sK23)
| ~ neq(sK24,nil) ),
inference(cnf_transformation,[],[f267]) ).
fof(f558,plain,
( ~ singletonP(sK23)
| ~ segmentP(sK24,sK23) ),
inference(definition_unfolding,[],[f407,f406,f408,f408]) ).
fof(f408,plain,
sK21 = sK23,
inference(cnf_transformation,[],[f267]) ).
fof(f407,plain,
( ~ segmentP(sK22,sK21)
| ~ singletonP(sK21) ),
inference(cnf_transformation,[],[f267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC385+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 18:52:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.16/0.48 % (11882)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.49 % (11890)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.49 % (11883)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50 % (11883)Instruction limit reached!
% 0.16/0.50 % (11883)------------------------------
% 0.16/0.50 % (11883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (11898)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.50 % (11891)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.50 % (11899)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.50 % (11883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (11883)Termination reason: Unknown
% 0.16/0.50 % (11883)Termination phase: Equality resolution with deletion
% 0.16/0.50
% 0.16/0.50 % (11883)Memory used [KB]: 1279
% 0.16/0.50 % (11883)Time elapsed: 0.008 s
% 0.16/0.50 % (11883)Instructions burned: 8 (million)
% 0.16/0.50 % (11883)------------------------------
% 0.16/0.50 % (11883)------------------------------
% 0.16/0.51 % (11898)First to succeed.
% 0.16/0.52 % (11888)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.52 % (11898)Refutation found. Thanks to Tanya!
% 0.16/0.52 % SZS status Theorem for theBenchmark
% 0.16/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52 % (11898)------------------------------
% 0.16/0.52 % (11898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (11898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (11898)Termination reason: Refutation
% 0.16/0.52
% 0.16/0.52 % (11898)Memory used [KB]: 1279
% 0.16/0.52 % (11898)Time elapsed: 0.126 s
% 0.16/0.52 % (11898)Instructions burned: 12 (million)
% 0.16/0.52 % (11898)------------------------------
% 0.16/0.52 % (11898)------------------------------
% 0.16/0.52 % (11875)Success in time 0.187 s
%------------------------------------------------------------------------------